Re[2]: [tied] Re: Numerals query again

From: Harald Hammarstrom
Message: 27360
Date: 2003-11-18

> > I find another paradox on induction quite intriguing
> > namely: The teacher in a high school class say to her
> > students that they will have an unpreparered test next
> > week. [...]
>
> Probably better known (at least in English) as the paradox
> of the unexpected hanging, thanks to Martin Gardner's
> extensive discussion of it in one of his books. I don't see
> it as a paradox on induction;

I thought it relies on 'reusing' the statement for any day of the week
(whereas intuitively that violates the teacher's presumed intent with her
statement). The 'paradox' can of course rest on several things, and
this I would say is one of them.

> it can be rephrased in a way
> that completely removes the inductive element.

Please do!

thanks,

Harald